What is (a2−11)+(3a2−4a+6)

Question

?(1 point)
Responses

3a2−4a−5
3 a squared minus 4 a minus 5

−5
negative 5

4a2−4a−5
4 a squared minus 4 a minus 5

−4a2+4a+5

Answer 1

To simplify the expression \((a^2 − 11) + (3a^2 − 4a + 6)\), we can combine the like terms:

1. Combine \(a^2\) terms: \(a^2 + 3a^2 = 4a^2\)
2. Combine the \(a\) terms: There are no \(a\) terms in \(a^2 − 11\), so we just have \(-4a\).
3. Combine the constant terms: \(-11 + 6 = -5\)

Putting it all together, we have:

\[ 4a^2 - 4a - 5 \]

Thus, the correct response is:

4a² - 4a - 5.